Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Answer:

77%

Step-by-step explanation:

Given the following :

Probability of winning both games = 50%

Probability of winning just the first game = 65%

Let the probability of winning the ;

First game = p(A) = 65%

Second game = p(B)

Both games = p(A and B) = 50%

What is the probability that the team will win the 2nd game given that they have already won the first game

The above question is a conditional probability question :

Probability of winning the second Given that they've already won the first = p(B | A)

p(B | A) = (A and B) / p(A)

p(B | A) = 50% / 65%

p(B | A) = 0.5 / 0.65

p(B | A) = 0.7692307

= 76.9% = 77%

Hey there! I'm happy to help!

I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.

First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.

5²=25

And we multiply by π.

25π

Now we multiply by the height.

25π×13=325π

We divide by three.

325π/3≈108π

Therefore, the answer is 108π in.

Have a wonderful day! :D

Answer:

E

Step-by-step explanation:

i guess the dotted lines outline a square

so get the area of the square which is 6×6=36

then don't focus on the shaded part but unshaded you'll see two right angled triangles

[tex]a = 1 \div2b \times h[/tex]

you will get a total for both as 21

then get the area of the square 36-21=15

so the area becomes 15

Answer:

k = -18.

But See below.

Step-by-step explanation:

f(x) =  x^4 - 3x^3 - 6x^2 + kx - 16

If  x^2 + 3x + 2 is a factor then so is (x + 1) and (x + 2) as

x^2 + 3x + 2 = (x + 1)(x + 2)

So by the Factor Theorem f(-1) = 0:

f(-1) = (-1)^4 - 3(-1)^3 - 6(-1)^2 - 1k - 16 = 0

1 + 3 - 6 - k - 16 = 0

-18 - k = 0

k =  -18.

Checking:

f(-2) =   (-2)^4 - 3(-2)^3 - 6(-2)^2 - 18(-2) - 16

=  16 + 24 - 24 + 36 - 16 = 36   (NOT 0).

Answer:

k=11

explaination:

Answer:

The answer is 21.25cm

Step-by-step explanation:

Hope i am marked as brainliest

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

∆ PQR shown in the figure below is transformed into ∆ STU by a dilation with center (0, 0) and a scale factor of 3.

Complete the following tasks,

- Draw ΔSTU on the same set of axes.

- Fill in the coordinates of the vertices of ΔSTU.

- Complete the statement that compares the two triangles.

When ΔPQR is transformed into ΔSTU by a dilation with center (0, 0) and a scale factor of 3,

Rule to followed to get the vertices of ΔSTU,

(x, y) → (3x, 3y)

P(1, 1) → S(3, 3)

Q(3, 2) → T(9, 6)

R(3, 1) → U(9, 3)

Length of QR = 2 - 1 = 1 unit

Length of PQ = [tex]\sqrt{(3-1)^2+(2-1)^2}=\sqrt{5}[/tex] units

Length of PR = 3 - 1 = 2 units

Length of ST = [tex]\sqrt{(9-3)^2+(6-3)^2}=3\sqrt{5}[/tex] units

Length of TU = 6 - 3 = 3 units

Length of SU = 9 - 3 = 6 units

Therefore, ratio of the corresponding sides of ΔPQR and ΔSTU,

[tex]\frac{\text{PQ}}{\text{ST}}=\frac{\text{QR}}{\text{TU}}=\frac{\text{PR}}{\text{SU}}[/tex]

[tex]\frac{\sqrt{5}}{3\sqrt{5}}=\frac{1}{3}=\frac{2}{6}[/tex]

[tex]\frac{1}{3}=\frac{1}{3}=\frac{1}{3}[/tex]

Since ratio of the corresponding sides are same,

Therefore, ΔPQR and ΔSTU are similar.

The answer is

[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

y - 5x = 1

y = 5x + 1

Comparing with the above formula

The slope / m of the line is 5

Since the is perpendicular to y = 5x + 1 it's slope it's the negative inverse of y = 5x + 1

That's

Slope of the perpendicular line = - 1/5

Equation of the line using point (-1,5) is

[tex]y - 5 = - \frac{1}{5} (x + 1)[/tex]

[tex]y - 5 = - \frac{1}{5} x - \frac{1}{5} [/tex]

[tex]y = - \frac{1}{5} x - \frac{1}{5} + 5[/tex]

We have the final answer as

[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]

Hope this helps you

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{5}x+\dfrac{24}{5}\to x+5y=24}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Let

[tex]k:y=m_1x+b_1;\ l:y=m_2x+b_2[/tex]

therefore

[tex]k||l\iff m_1=m_2\\k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]

We have the equation of a line in the standard form. Convert it to the slope-intercept form:

[tex]y-5x=1[/tex]      add 5x to both sides

[tex]y-5x+5x=1+5x\\\\y=5x+1\to m_1=5;\ b_1=1[/tex]

Calculate the slope:

[tex]m_2=-\dfrac{1}{5}[/tex]

Substitute the value of a slope and the coordinates of the given point (-1, 5) to the equation of a line:

[tex]y=m_2x+b[/tex]

[tex]5=\left(-\dfrac{1}{5}\right)(-1)+b[/tex]

[tex]5=\dfrac{1}{5}+b[/tex]           subtract 1/5 from both sides

[tex]5-\dfrac{1}{5}=\dfrac{1}{5}-\dfrac{1}{5}+b[/tex]

[tex]\dfrac{25}{5}-\dfrac{1}{5}=b\\\\\dfrac{24}{5}=b\to b=\dfrac{24}{5}[/tex]

Final answer:

[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex]

convert to the standard form (Ax + By = C):

[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex]       multiply both sides by 5

[tex]5y=(5)\left(-\dfrac{1}{5}x\right)+(5)\left(\dfrac{24}{5}\right)[/tex]

[tex]5y=-x+24[/tex]        add x to both sides

[tex]x+5y=24[/tex]

Answer:

Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.

First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:

h(x) = s*x + b

First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:

s = (y2 -y1)/(x2 - x1)

Then in this case, the slope is:

s = (1 - (-5))/(9 - 1) = 0.75

Then we have

h(x) = 0.75*x + b

now, the value of b can be found as:

h(1) = -5 = 0.75*1 - b

b = - 5 - 0.75 = -5.75.

Then our equation is:

h(x) = 0.75*x - 5.75

Now, i gues you want to find the graph of:

y = h(-x)

Then our new function is:

g(x) = h(-x) =  -0.75*x - 5.75.

Now to find the points, we evaluate this function in the same values of x as before.

g(1) = -0.75*1 - 5,75 = -6,5

the point is (1, -6.5)

the second point is when x = 9.

g(9) = -0.75*9 - 5.75 = -12.5

The second point is (9, -12.5)

Answer:

(−6,7) (-1,-2)

Step-by-step explanation:

Khan

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

Answer:

x=10 y=12

Step-by-step explanation:

just multiply 15 and 18 by 1/3 because both triangle are similar.

Answer:

x = 10; y = 12

Step-by-step explanation:

find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2

from large triangle to small triangle you will get:

1. 15 / x

2. 18 / y

to implement the ratio, set the side length ratio equal to the scale factor:

1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]

2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]

cross multiply:

1. 30 = 3x

2. 36 = 3y

divide:

1. x = 10

2. y = 12

Answer:

C.  6√5

Step-by-step explanation:

√20 +√80= √4*5 + √16*5 = 2√5 + 4√5 = 6√5

Answer:

[tex]\boxed{AC = 2.3}[/tex]

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

Now, Finding AC using Pythagorean Theorem:

[tex]c^2 = a^2+b^2[/tex]

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

[tex]AC^2= (1.5)^2+(\sqrt{3} )^2[/tex]

[tex]AC^2 = 2.25 + 3[/tex]

[tex]AC^2 = 5.25[/tex]

Taking sqrt on both sides

[tex]AC = 2.3[/tex]

Answer:

[tex]\boxed{2.29}[/tex]

Step-by-step explanation:

The length of AB is 3 units.

The length of CD is [tex]\sqrt{3}[/tex] units.

D is the mid-point of points A and B.

AD is half of AB.

[tex]\frac{3}{2} =1.5[/tex]

Apply Pythagorean theorem to solve for length of AC.

[tex]c=\sqrt{a^2 +b^2 }[/tex]

The hypotenuse is length AC.

[tex]c=\sqrt{1.5^2 +(\sqrt{3}) ^2 }[/tex]

[tex]c=\sqrt{2.25+3 }[/tex]

[tex]c=\sqrt{5.25}[/tex]

[tex]c= 2.291288...[/tex]

Answer:Keith

x=5,x=12

Step-by-step explanation:

Answer:

the answers are keith and -5,-12

Step-by-step explanation:

I just took the test and got a 5/5 the other person is incorrect.

Answer:

Step-by-step explanation:

Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°

Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.

Hope this helps...

Best regards!!

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex](p-q)^2[/tex]

[tex](p-q)(p-q)[/tex]

Use FOIL method.

[tex]p^2-pq-pq +q^2[/tex]

[tex]p^2-2pq +q^2[/tex]

Answer:

= [tex]\frac{34}{6561}[/tex]

Step-by-step explanation:

[tex]= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}[/tex]

Answer:

1/81

Step-by-step explanation:

Answer:

0.0278 is the probability

Step-by-step explanation:

Okay, here we want to find the probability of 5 successes

The best way to go about this is by using the Bernoulli trial

So is p = probability of success = 0.51

Then q = probability of failure = 1-0.51 = 0.49

Mathematically, the Bernoulli approximation for k = 5 out of n = 18 is set up as follows;

P(k = 5) = nCk • p^k • q^(n-k)

P(k = 5) = 18C5 * 0.51^5 * 0.49^13

P(k = 5) = 0.027751047366 which is 0.0278 to 4 decimal places

Answer:

to solve that it gonna be 10 square root of 2 and in decimal form it gonna be 14.14213562

Hope this helps

Step-by-step explanation:

=====================================

Work Shown:

One approach is to simplify the stuff under the second power exponent. After that simplification, you would then square the result.

[tex]x = \sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\\\\x = \sqrt{2}+\sqrt{4*2}+\sqrt{9*2}+\sqrt{16*2}\\\\x = \sqrt{2}+\sqrt{4}*\sqrt{2}+\sqrt{9}*\sqrt{2}+\sqrt{16}*\sqrt{2}\\\\x = 1\sqrt{2}+2\sqrt{2}+3\sqrt{2}+4\sqrt{2}\\\\x = (1+2+3+4)\sqrt{2}\\\\x = 10\sqrt{2}\\\\x^2 = \left(10\sqrt{2}\right)^2\\\\x^2 = \left(10\sqrt{2}\right)*\left(10\sqrt{2}\right)\\\\x^2 = 10*10\sqrt{2}*\sqrt{2}\\\\x^2 = 100\sqrt{2*2}\\\\x^2 = 100\sqrt{4}\\\\x^2 = 100*2\\\\x^2 = 200\\\\[/tex]

So,

[tex]\left(\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}\right)^2 = 200[/tex]

-----------------------------------------------------

Checking the answer:

Using a calculator,

sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32) = 14.142135623731

Then you square that to get (14.142135623731)^2 = 200.000000000001

Your calculator may not have that 1 at the end. It shouldn't be there and it's a result of rounding error. But it's close enough to 200.

Answer:

y = x+4

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 1x+4

y = x+4

Answer:

[tex]\boxed{y=x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of a line:

[tex]y = mx+b[/tex]

m is the slope and b is the y-intercept

[tex]m=1\\b=4[/tex]

[tex]y = 1x+4[/tex]

Answer and Step-by-step explanation:

a. As the friend claim is wrong as he flipped the coin very less i.e 10 only which reflects the number of time he flipped the coins. And we know that the probability is based on an imagination that could have a long series with respect to indefinite trails i.e unlimited

b. Since your friend flipped very less i.e only 10 which is not sufficient to get the nearest estimate your friend should flipped many times so that he would able to come very close.

Answer:

Step-by-step explanation:

Use the following formulas:

surface area of rectangular prism: A = 2wl + 2lh + 2hw

volume of rectangular prism: lwh

surface area of cylinder: A=2πrh+2πr^2

volume of cylinder: V=πr^2h

using these formulas, the surface area of the box is 424.3

the volume of the box is about 511.3

the surface area of the cylinder is about 275.77

the volume is 342.12

knowing this, the cylinder uses less material but the box holds more soup.

Answer:

x = {2,3,4}    (if x can only be positive whole numbers)

Step-by-step explanation:

For a triangle exists, the side lengths of the triangle must be such that the sum of the two shorter sides must be greater than the third side.

This also is equivalent to any two sides must have a sum greater than the third side.

So

7+10 > x^2, => x^2 < 17 => x < sqrt(17)     (maximum)

7+x^2 > 10, => x^2 >3 => x > sqrt(3)

Therefore

sqrt(3) < x < sqrt(17)

If x must be an integer,

2< x < 4, or x = {2,3,4}

Answer:

2 possible values

Step-by-step explanation:

The given expression is:

[tex]\sqrt[3]{\frac{144}{y} }[/tex]

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

[tex]y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152[/tex]

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020

In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.

Choice B is false as it contradicts choice A.

Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change

Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.

Answer:

A

Step-by-step explanation:

Answer:

ill help!

Step-by-step explanation:

find angle CBD

once you find that angle subtract it from 90 because that is the measure of ABC which is a right angle. Because all right angles are 90 degrees you can prove that it is the difference from angle CBD and 90.

hope it helped have good one!

Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

Read more at; https://brainly.com/question/24778555

Answer:

If the number is x, we can write the following equation:

2 + 10x = 2

10x = 0 so therefore, x must be 0. There is no other number that satisfies this property.

Answer:

c. (3x^2-1)(x-7)

Step-by-step explanation:

=(3x^3-21x^2)+(-x+7)

=-(x-7)+3x^2(x-7)

=(3x^2-1)(x-7)

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form